In the Figure $\alpha$ And $\beta$ Are Positive Angles $\alpha$ = Arcsin(0 $\beta$ ) to Write C as a Function Of

Multiple Choice

In the figure, $\alpha$ and $\beta$ are positive angles.
A = 3, b = 12
Use $\alpha$ = arcsin(0.25sin $\beta$ ) to write c as a function of $\beta$ .

A) $c = \frac { 12 \sin [ \pi - \beta - \arcsin ( 0.25 \beta ) ] } { \sin \beta }$
B) $c = \frac { 12 \sin [ \pi + \beta - \arcsin ( 0.25 \beta ) ] } { \sin \beta }$
C) $c = \frac { 0.25 \sin [ \pi - \beta - \arcsin ( 12 \beta ) ] } { \sin \beta }$
D) $c = \frac { 12 \sin [ \pi + \beta + \arcsin ( 0.25 \beta ) ] } { \sin \beta }$
E) $c = \frac { 12 \sin [ \pi - \beta + \arcsin ( 0.25 \beta ) ] } { \sin \beta }$